THE EFFECT OF A MAP FLOW ON PERFORMANCE MEASURES OF CONTROLLABLE QUEUEING SYSTEM WITH HETEROGENEOUS SERVERS IN A RANDOM ENVIRONMENT

In this paper we study a MAP/M/2 queueing system with heterogeneous servers. The system operates in a Markovian random environment which modulated service rates of faster server. The allocation of customers between the servers proceeds according to a heuristic FFS-policy (Fastes Free Server) and to an optimal policy which minimizes the average number of customers in the system. It is shown that the correlated arrivals may have different impact on the average number of customers in the system and on other performance measures dependent on the value of correlation, properties of the random environment and type of the allocation policy.

Авторы
Efrosinin D. 1, 2 , Krishnamoorthy A. 3 , Vishnevskiy V.1 , Kozyrev D. 1
Издательство
РУДН
Язык
Английский
Страницы
415-433
Статус
Опубликовано
Год
2018
Организации
  • 1 V.A. Trapeznikov Institute of Control Sciences of RAS
  • 2 Johannes Kepler University
  • 3 Department of Mathematics, CMS College
  • 4 Peoples' Friendship University of Russia (RUDN University)
Ключевые слова
Markovian arrival process; heterogeneous servers; random environment; optimal threshold policy; FFS-policy
Дата создания
07.11.2019
Дата изменения
07.11.2019
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/53774/